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Finding the Third Proportional to 171,960 and 378,792

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Solution

The third proportional to 171,960 and 378,792 is: 834,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,960 : 378,792 = 378,792 : x
  2. Step 2: Convert to fraction form
    171,960/378,792 = 378,792/x
  3. Step 3: Cross multiply
    171,960x = 378,792 × 378,792
  4. Step 4: Simplify right side
    171,960x = 143,483,379,264
  5. Step 5: Solve for x
    x = 143,483,379,264/171,960
  6. Step 6: Final answer
    x = 834,399.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.